Q.42

Expert-verifiedFound in: Page 332

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

What are the magnitude and direction of the angular momentum relative to the origin of the particle

Hence the momentum of the particle is

In the same manner that torque is the rotational equivalent of force, angular momentum is the rotational equivalent of linear momentum. In vector notation, angular momentum is given by

Here is the position vector of the particle and is the momentum vector of the given particle.

The travelling particle's direction is depicted in the diagram below.

The particle is travelling with a velocity of in a direction below the positive -axis. The particle's horizontal and vertical components of velocity are then calculated.

And

The mass of the particle is

The given particle lies in the plane. Then position vector of the given particle is

And velocity vector of the given particle is

Since angular momentum is the rotational equivalent of linear momentum in much the same way that torque is the rotational equivalent of force. Angular momentum in vector notation is given by

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